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4041072 = 2432719211
BaseRepresentation
bin1111011010100101110000
321121022022100
433122211300
52013303242
6222340400
746230360
oct17324560
97538270
104041072
112310132
12142a700
13ab6489
147729a0
1554c54c
hex3da970

4041072 has 120 divisors (see below), whose sum is σ = 13669760. Its totient is φ = 1088640.

The previous prime is 4041049. The next prime is 4041073. The reversal of 4041072 is 2701404.

It is a happy number.

4041072 is nontrivially palindromic in base 11.

4041072 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

4041072 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4041073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19047 + ... + 19257.

Almost surely, 24041072 is an apocalyptic number.

4041072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4041072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6834880).

4041072 is an abundant number, since it is smaller than the sum of its proper divisors (9628688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4041072 is a wasteful number, since it uses less digits than its factorization.

4041072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 4041072 is about 2010.2417765035. The cubic root of 4041072 is about 159.2815706150.

Adding to 4041072 its reverse (2701404), we get a palindrome (6742476).

The spelling of 4041072 in words is "four million, forty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 211 228 252 266 304 336 342 399 422 456 504 532 633 684 798 844 912 1008 1064 1197 1266 1368 1477 1596 1688 1899 2128 2394 2532 2736 2954 3192 3376 3798 4009 4431 4788 5064 5908 6384 7596 8018 8862 9576 10128 11816 12027 13293 15192 16036 17724 19152 23632 24054 26586 28063 30384 32072 35448 36081 48108 53172 56126 64144 70896 72162 84189 96216 106344 112252 144324 168378 192432 212688 224504 252567 288648 336756 449008 505134 577296 673512 1010268 1347024 2020536 4041072